Sulit Answer All Questions

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4

Answer all questions 1

Round off 238 567 to the nearest thousands. A B C D

2

238 500 238 600 239 000 240 000

Table 1 shows the list of items bought by Ahmad from a sundry shop. Item

Quantity

Price per unit

Cooking oil

1 bottle

RM13

Curry powder

4 packets

RM4

Potato

3 kg

RM2

Table 1 If he pays the shopkeeper with a fifty ringgit note, what is the change he should receive? A B C D

3

RM35 RM31 RM19 RM15

In a Mathematics test, Yusdi scored 80 marks whereas Azlan’s score was Yusdi’s score. The ratio of Yusdi’s score to Azlan’s score is A B C D

4

3 5

of

3:5 5:8 5:2 5:3

Diagram 1 shows all the factors of 42.

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5

2

21

1

14 6 3

7 42

Diagram 1

Which of the factors are prime factors? A B C D

1, 2, 3, 7 2, 3, 7 1, 3, 7 1, 2, 3, 7, 21

5

1, 3, 6, 11, p, 29, … Based on the above number sequence, the value of p is A B C D

6

Given that 0.2 + A B C D

7

16 17 18 19

f 1 = . The value of f is 100 4

5 25 50 250

Diagram 2 shows a number line. A –3

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B –2

C –1

D 0

1

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Diagram 2

In which of the regions labelled A, B, C or D, is − 1

8

3 are female. 1 of the female and 1 of the 3 4 5 male are children. How many children are there in the bus? In an express bus of 40 passengers,

A B C D

9

10 12 14 24

1 hours to paint each room. If he 2 started painting the first room at 9.30 a.m and took 45 minutes break in between, at what time did he complete painting the second room? Tajudin painted two identical rooms and took 2

A B C D

10

1 situated? 3

1430 1545 1515 1555

A string of length 2.90 m is used to tie 6 parcels. The string used for each parcel is equal in length. If 38 cm of the string is left after all the parcels have been tied, calculate, in cm, the length needed for each parcel.

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SULIT A B

C D

11

40 41 42 45

In a cross country race, 20% of participants were disqualified. If 64 participants are allowed to complete the run, how many participants took part in the race? A B C D

12

7

80 86 90 94

Pak Din was paid RM 222.00 for 12 working days. How much will he receive for 20 working days? A B C D

RM111.00 RM133.20 RM270.00 RM370.00

P Q K

yo

o xo x

13

L In Diagram 3, KLM and PLN are straight lines.

N

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70o

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30o

M

SULIT

8

Diagram 3

Find the value of y. A B C D

14

40 100 110 140

Diagram 4 shows a cube. Given that the area of the surface JKLM is 16 cm2. L

K

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Diagram 4

Hence, calculate the volume, in cm3, of the cube.

A B C D

15

Izam has 5 sacks of sugar, each with a mass of r kg. All the sugar is then packed in a number of smaller packets of the same size. The mass of each packet is 3 kg. What is the total number of the packets? A B

C D

16

48 64 96 128

5r 3 15r 3 5r 30r

In Diagram 5, the area of the square RSTU is 64 cm2 and QR = RS. P T U 15 cm S

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R

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Diagram 5

Find the length, in cm, of PU. A B C

D

17

8 9 12 17

Table 2 shows the scores for a group of students in a game.

0

Point

1

2

3

4

5

6

Number of Students

2

1

1

1

3

2

Table 2 Determine the number of students who obtained scores less than the median score. A B C D

18

2 3 4 5

Q P 3 cm R In Diagram 6, PRSV is a parallelogram and STUV is a rectangle. V

U 50/1 © 2008 Hak Cipta Sektor SBP

S

8 cm

T

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Diagram 6

Given that PQ = PV = UV . QST is a straight line. Calculate the area, in cm2, of the whole diagram. A B C D 19

72 52 40 32

In Diagram 7, TRP is a straight line. Given that, the ratio of ∠SRT to ∠RST to ∠ RTS is 2 : 3 : 4. S

mo T

P

R Diagram 7

Find the value of m. A B C D 20

100 120 140 180

In Diagram 8, X and Y are the centres of two semicircles. Q

12 cm

P

A X

R

B

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C

D

Y

8 cm

S

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Diagram 8

Based on the diagram, which of the points, A, B, C or D is 4 cm from the straight line PQ and 6 cm from point Y.

21

Diagram 9 shows a right-angled triangle EFG. E(2, 9)

M

G

F(2, 3) Diagram 9

Given that EF = FG and M is the midpoint of EG. Find the coordinates of M. A B C D

22

( 3, ( 5, ( 4, ( 6,

3) 6) 5) 5)

In Diagram 10, point P and point R are marked on the Cartesian plane. y 2 P O

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•

2

R

•

x

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Diagram 10

Given PQRS is a trapezium. If the coordinates of point Q( 3, 2 ), the possible coordinates of point S is A B C D

23

( 1, – 1 ) ( 2, – 2 ) ( 0, – 2 ) ( 0, 2 )

Diagram 11 shows a Cartesian plane. y L T

K (– 12, 0)

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O

x

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Diagram 11

Given that KL = 13 units and LM is parallel to x-axis. The coordinates of T is A B C D

24

( 13, 5 ) ( 5, 12 ) ( 12, 5 ) ( 12, 13 )

Diagram 12 shows the net of a solid. 25 cm

15 cm

Diagram 12

The solid is A

B C D

25

a cylinder with the radius 15 cm. a cone with the radius 15 cm. a cylinder with the radius 7.5 cm. a cone with the radius 7.5 cm.

Diagram 13 shows, a right pyramid with square base JKLM. The height of vertex V from the base JKLM is 12 cm. V

K

L O

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10 cm

M

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15 Diagram 13 Calculate the total surface area, in cm2, of the pyramid.

A B C D

26

165 260 280 360

In Diagram 14, E, F, G, H and J are vertices of a regular polygon. F 18o

G

E H

I

Diagram 14

Find the number of sides of the polygon. A B

C D

The bar chart in Diagram 15 shows the sales of cars in a car sales centre for the first five months. Sales of cars (in 100 units)

27

9 10 12 15

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Jan

Feb

Mar Month

April

May

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Diagram 15 Calculate the mean of the sales per month for the period shown in the chart. A B C D 28

600 480 400 380

The pictograph in Diagram 16 shows the number of mobile phone sold in the first three months of 2008.

Represents 15 units

JanuaryFebruaryMarch

Diagram 16

Which of the following statements is true? A B C D 29

The sales in March was 45 units. The lowest monthly sales was 3 units. The sales in February exceeded the sales in January by 45 units. The total sales for the first three months are 13 units.

Diagram 17 is drawn on the square grids. V

I

II

III

IV

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Diagram 17

Which of the points are situated on the axes of symmetry of the diagram? A B C D

30

I and III II and IV I, II and V II, IV and V

In Diagram 18, JKLMN is a semicircle with centre O. (use π =

22 ) 7 L M K

J

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40o

20o O 14 cm

N

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Diagram 18

Calculate the area, in cm2, of the shaded region. A B C D

31

2 3 1 29 3 1 51 3 2 53 3

14

Diagram 19 shows a sector of a circle with centre O. (use π =

22 ) 7

G

9 cm 20o E

O Diagram 19

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19 Calculate the perimeter, in cm, of the whole diagram.

A B

C D

32

22 31 40 44

In Diagram 20, PQR is a right-angled triangle. P

(x – y) cm

8 cm

R Q

2x cm

Diagram 20

The area, in cm2, of the triangle is A B

4x – 4y 2x2 + xy

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20 8x – 8y 8x

Diagram 21 shows three pairs of parallel lines.

vo wo xo yo zo

Diagram 21

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21

Which of the following statements are true? I

v + w + y = 180

II

34

y=v+w

III

w + x = 180

A B C D

I, II only I, III only II, III only I, II, III only

Diagram 22 shows a regular hexagon KLMNPQ and irregular polygon MRSTV. K

L

R M

Q

100o

V P

N

xo

S

130o

T

Diagram 22

Given that PMR is a straight line. The value of x is A

85

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22 80 75 70

Diagram 23 shows a semicircle with centre O. S xo

R

T

70o

O

U

Diagram 23 The value of x is A

B C D

50 60 70 80

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23

In Diagram 24, KPM and JOPL are straight lines and O is the centre of the circle.

K

L P

ho

O 25o J M o

140 N

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24 Diagram 24

Find the value of h. A B C D

37

115 110 105 100

In Diagram 25, EFGH is a rectangle and EFP is a circle with centre O.

E

M

F

O 10 cm

P H

N

G

Diagram 25

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Given that, the area of the rectangle EFGH is 80 cm2 and the radius of the circle is 5 cm. The length, in cm, of MP is A B C D

38

3( x – 2)2 = A B C D

39

5 6 8 10

3x2 – 12 9x2 – 36 3x2 – 6x + 12 3x2 – 12x + 12

The pie chart in Diagram 26 shows the result of a survey on a group of people and their favourite local fruits.

Banana 4xo Papaya

xo

Mangosteen 2xo

150o Durian

Diagram 26 If the number of people who love mangosteens is 15, calculate the total number of people in survey is

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B C D

40

26 30 60 90 120

( 2x – 1 )3 = . A

B C D

6x – 3 x− 3 8 8 x3 2 x

END OF QUESTION PAPER

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27 For Examiner’s Use

Answer all questions 1

(– 3) + 8 × ( – 5 )

Calculate the value of

[2 marks] Answer:

1

2

2

 1  2

1 9 and express the answer as a fraction in its lowest 3  14

Calculate the value of 1 −  × term.

[2 marks] Answer:

2

2

3

 

1 2

Calculate the value of 6 +  − 1  × 0.48 and express the answer as a decimal. [2 marks]

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28 Answer:

For Examiner’s Use

4

(a)

(b)

3

2  1 −1   5

Find the value of

(

Calculate the value of 0.5 −

0.09

)

2 3

.

[3 marks] Answer: (a)

(b)

4

3

5

Solve each of the following equation:

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(a)

– 3s = – 4

(b)

2 ( 6 x − 12) = 2 x 3 [3 marks]

Answer: (a)

(b)

5 6 3

In Diagram 1, triangle P is drawn on square grids. On the grids, draw the image of triangle P under a reflection in the line l .

Answer:

l

[2

marks]

P

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6

2

Diagram 1 7

Given that 8 x = 16 . Find the value of x .

[2 marks]

Answer:

7

For Examiner’s Use

8

In Diagram 2, point A’ is the image of point A under a 90° clockwise. (a) Mark C as the centre of rotation. (b) Complete the image of object S under the same rotation.

2

[3 marks] Answer

A

S

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31 A′

Diagram 2

8

3

9

For Examiner’s Use

Factorize completely (a) 2p – 4p² (b)

y³ – 9y [3 marks]

Answer: (a)

(b)

9

3

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32

Expand 2(2p – 3q)² – p(2p – q) [2 marks] Answer:

10

2

11

Find the value of

1

2 2 × 18

−

1 2

[3 marks] Answer:

11 For Examiner’s Use

12

Express

1 3+ f − as a single fraction in its simplest form. 3e 12ef

3 [3 marks]

Answer:

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12

3

13

(

2 Simplify 3u w

)

3

u − 4 w5 [3 marks]

Answer:

13

3

14

For Examiner’s Use

Table 1 shows the blood type of 37 pupils.

(a) (b)

Blood type

Number of pupils

AB

8

A

5

B

12

O

12

State the mode.

Table 1 Hence, represent all the data by drawing a line graph in the answer space. [4 marks]

Answer: (a)

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Number of pupils

(b)

14

12

10

8

6 4

2

AB

A

B

O

Blood type

14

For Examiner’s Use

15

Table 2 shows the number of students in Form 3 Melur who scored grade A in three subjects. B

G

Mathematics

14

x

Science

20

12

English 50/1 © 2008 Hak Cipta Sektor SBP

10

22

Table 2

B- Boy

.

G- Girl

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4

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35

Based on the bar chart in the answer space given (a) find the value of x (b) hence, represent all the data by drawing bar charts for Science and English. [4 marks] Answer:

(a)

Number of students

(b)

32

28

24

20 16 12 15 8 4

16

For Examiner’s Use

Diagram 3, shows a square base right V pyramid. 4 Mathematics Science

English

Subject

5 units

6 units Diagram 3

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Draw the net of the pyramid completely. [3 marks] Answer:

16

For Examiner’s Use

4 3 17

In Diagram 4 figure R is the image of figure S under a certain transformation M.

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S

Diagram 4 Describe in full the transformation M. [2 marks] Answer:

17 For Examiner’s Use

2

18

Diagram 5 in the answer space shows an isosceles triangle STU. M is the midpoint of straight line SU. J, K and L are three moving points in the diagram.

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(a)

J moves such that it is equidistant from the point S and U. By using the letters in the diagram, state the locus of J.

(b)

On the diagram, draw

(c)

(i)

the locus of K such that KU = 6 cm,

(ii)

the locus of L such that its distance from the straight line SU is always 4 cm.

Hence, mark with the symbol ⊗ the intersection of the locus of K and the locus of L. [5 marks]

Answer: (a), (b) and (c) T

Diagram 5

For Examiner’s Use

19

S Diagram 6 shows a quadrilateral ABCD.

18 U

M

5

C D

60o

A

B Diagram 6

(a)

Using only a ruler and a pair of compasses, construct quadrilateral ABCD given. Begin from the diagram provided in the answer space.

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(b)

Based on the diagram constructed in 19(a), (i)

measure the length, in cm, of BD,

(ii)

measure ∠ BAD, using a protractor. [6 marks]

Answer: (a)

C

A

B Diagram 6

(b)

(i)

(ii) 19 20 6

Diagram 7 in the answer space shows octagon ABCDEFGH and two straight lines PQ and QR drawn on a square grid. Starting from the straight lines PQ and QR, draw the octagon PQRSTUVW is congruent to octagon ABCDEFGH.

which

[3 marks] Answer:

E

C D

F

B

G

A

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40

P

R

Q

Diagram 7

END OF QUESTION PAPER 20

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